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Finding the Third Proportional to 584.72 and 881.30

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Solution

The third proportional to 584.72 and 881.30 is: 1,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 881.30 = 881.30 : x
  2. Step 2: Convert to fraction form
    584.72/881.30 = 881.30/x
  3. Step 3: Cross multiply
    584.72x = 881.30 × 881.30
  4. Step 4: Simplify right side
    584.72x = 776,684.18
  5. Step 5: Solve for x
    x = 776,684.18/584.72
  6. Step 6: Final answer
    x = 1,328.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.